Integration using Tables of Integrals: Example 3

In this video I go over another example on using tables for integrals and go over the integral of the function x^3sin(x). In this example I show that sometimes the exact formula can not be found in a table but their are ways of simplifying the integral using another integral formula. The integral of this example involves using the trigonometric integral reduction formula to reduce the power of the x^3 until we get the function xsin(x) in which we can use the formula #82 in the Table of Integrals found at http://tinyurl.com/integralsmes to finally solve the integral.

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Integration using Tables of Integrals: Example 2: http://youtu.be/H8faP77lthc Integration using Tables of Integrals: Example 1: http://youtu.be/AOToFP-4Mfg Integrals and Volumes by Cylindrical Shells: http://youtu.be/LbywV9X154E Can We Integrate All Continuous Functions?: http://youtu.be/OFEDLJYqYps Strategy for Integration: http://youtu.be/7JxW2N7izF0 Integration by Partial Fractions: http://youtu.be/r07NnKf76og Trigonometric Substitution for Integrals: http://youtu.be/2pWvGXwtVJo Integration by Parts: Proof: http://youtu.be/TZhEOct5u_M The Substitution Rule for Integrals: http://youtu.be/VsLC-0g6hVg Trigonometric Integrals: Guidelines for sin(x)cos(x): http://youtu.be/aE8Sz5BdMT8 Trigonometric Integrals: Guidelines for tan(x)cos(x): http://youtu.be/oz5nXlYQPB0 .

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